Search a number
-
+
2967121428480 = 2193351137103
BaseRepresentation
bin101011001011010110001…
…110000000000000000000
3101111122122210102210022000
4223023112032000000000
5342103131041202410
610151024325344000
7424240015003326
oct53132616000000
911448583383260
102967121428480
11a4439276a320
123bb06ab68000
13186a4bc8a761
14a3876453d16
15522ad05edc0
hex2b2d6380000

2967121428480 has 1280 divisors, whose sum is σ = 11934628992000. Its totient is φ = 693066792960.

The previous prime is 2967121428451. The next prime is 2967121428497. The reversal of 2967121428480 is 848241217692.

2967121428480 is a `hidden beast` number, since 2 + 9 + 6 + 7 + 12 + 142 + 8 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-2 number, since 2×29671214284802 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28807004109 + ... + 28807004211.

It is an arithmetic number, because the mean of its divisors is an integer number (9323928900).

Almost surely, 22967121428480 is an apocalyptic number.

2967121428480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2967121428480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5967314496000).

2967121428480 is an abundant number, since it is smaller than the sum of its proper divisors (8967507563520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2967121428480 is an equidigital number, since it uses as much as digits as its factorization.

2967121428480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 2967121428480 in words is "two trillion, nine hundred sixty-seven billion, one hundred twenty-one million, four hundred twenty-eight thousand, four hundred eighty".